Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
612 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#21439925 | C2 | semidirect |
| 4. #29504677 | C2 | semidirect |
| 6. #29504662 | C2 | semidirect |
| 7. #29504643 | C2 | semidirect |
| 8. #29504618 | C2 | semidirect |
| 9. #384×C239 | C2 | semidirect |
| 13. #21439948 | C4 | semidirect |
| 33. C2×Dic478 | C2×C4 | semidirect |
| 46. (C2×D239)⋊C4 | C2×C4 | semidirect |
| 57. C42×C239 | C2×C4 | semidirect |
| 111. C239 | #2326 | semidirect |
| 120. #384 | D239 | semidirect |
| 169. C42 | C4×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439948 | 2 |
| C2×#21439925 | 2 |
| C2×#21439922 | 2 |
| #29504677 | 2 |
| #29504673 | 2 |
| #29504662 | 2 |
| #29504643 | 2 |
| #29504618 | 2 |
| #384×C239 | 2 |
| #2326 | 239 |